Re: Is this cool with you?

Yes, I too could not find much information regarding this.In fact I too did not think of this when I came across the square grids' problem!But, since the no. of paths are less than the available paths in square grids', I guess we should subtract some value. Maybe we will get more insight when we plot the total paths vs no. of open paths, the effect of rearranging open paths etc.I'll leave it for now!

Last edited by gAr (2011-01-18 21:57:33)

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

Re: Is this cool with you?

New problem:

A guy has a scale with two pans. On the left pan he has a block weighing 196 gms. He has bolts that weigh 67 gms, nuts that weight 41 gms and washers that weigh 30 gms. He would like to level the two pans, that is have equal weights in both.

A) If he has 10 of each type what is the smallest weight he can have on a pan?

B) If he has an unlimited amount of each what is the smallest then?

In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Re: Is this cool with you?

What it tells you for instance is that there is only 1 way using the 10 of each type to make a 340 gm weight. Because the coefficient in front of x ^ 340 is 1. You can also say that the number of partitions of 340 from the set of 10 30's and 10 41's and 10 67's equals 1.

In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Re: Is this cool with you?

A teacher gives a test. No partial credit is given. There are 9 5 point questions, 7 4 point questions and 3 9 point questions. A student who has a 57% chance of passing, a 21% chance of getting between 80 - 90 and 2% chance of getting better than 90 claims he got a 93. What are the odds of that happening?

A says) 12% chance he is telling the truth.B says) 13% chance he is lying.C says) No way baby!D says) He looks honest so he must be truthful.

In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Re: Is this cool with you?

Hi gAr;

I do not know how that got in there. I checked my notes and it is correctly stated there.

I consider that you solved it! For understanding that shows you solved it! Very good. Excellent work. You can erase your answers and hide the correct one in the previous post. I am sorry, it can only be a typo. I have amended the problem. Again, very good solution!

In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Re: Is this cool with you?

That is okay with me but I changed the original problem so anyone else will not hangup. So you can put the answer to the correct one or that instead, whatever you like. You have a free pass to do whatever you want.

In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.